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Proof step 2 from proof put-rec (previous step)

⊦ x[n, a] = x.head ' + x.tail[n -1, a], n = 0, x = []

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
⊦ x[n, a] = x.head ' + x.tail[n - 1, a], n = 0, x = []

Rule argument

Additional information

Used simplifier rules: ⊦ n -1 = n - 1; (s)